Find the slope zero and y intercept for the equation 2x+3=6

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

So

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago

Can someone pls help

UNO [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

URGENT need answer quick

beks73 [17]

Answer:

Part A: x = 4.

Part B: The answer normally would be x = 12, but since your question asked why it has no real solution, it is because the solution (x=12) does not make the equaion true. Why? Because the value given from the equation that should make the equation true does not relate the equation in itself; hence making it have no solution.

5 0

2 years ago

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

amm1812

Answer: c. 0.0778

Step-by-step explanation:

Let X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We have ,

$P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778$

Thus , the correct answer is option c. 0.0778

8 0

3 years ago

Can anyone heelp me plz plz

Anna11 [10]

Answer:

c

Step-by-step explanation:

i think it's 1

6 0

2 years ago